Mister Exam

Other calculators


x^3-3x^2+2x

Integral of x^3-3x^2+2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2                     
  /                     
 |                      
 |  / 3      2      \   
 |  \x  - 3*x  + 2*x/ dx
 |                      
/                       
0                       
$$\int\limits_{0}^{2} \left(2 x + \left(x^{3} - 3 x^{2}\right)\right)\, dx$$
Integral(x^3 - 3*x^2 + 2*x, (x, 0, 2))
Detail solution
  1. Integrate term-by-term:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    1. Integrate term-by-term:

      1. The integral of is when :

      1. The integral of a constant times a function is the constant times the integral of the function:

        1. The integral of is when :

        So, the result is:

      The result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                       
 |                                       4
 | / 3      2      \           2    3   x 
 | \x  - 3*x  + 2*x/ dx = C + x  - x  + --
 |                                      4 
/                                         
$$\int \left(2 x + \left(x^{3} - 3 x^{2}\right)\right)\, dx = C + \frac{x^{4}}{4} - x^{3} + x^{2}$$
The graph
The answer [src]
0
$$0$$
=
=
0
$$0$$
0
Numerical answer [src]
3.86683605518831e-22
3.86683605518831e-22
The graph
Integral of x^3-3x^2+2x dx

    Use the examples entering the upper and lower limits of integration.